R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(102.59,102.91,101.94,101.8,102.25,102.6,102.49,102.13,100.76,100.86,101.12,100.74,99.99,99.39,99.52,99.21,99.38,99.37,99.38,99.26,99.36,99.2,98.53,98.65,99.15,100.17,99.98,100.07,99.94,100.05,99.13,98.74,98.64,98.44,98.81,98.88,99.63,100.08,100.07,100.55,99.98,99.89,99.86,99.61,100.12,100.24,100.1,99.86,97.99,97.57,98.28,97.97,97.99,97.84,97.33,96.7,96.79,96.76,96.23,96.29,96.46,97.23,97.59,97.13,97.37,96.12,96.96,96.7,97,97.15,96.51,96.68)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '1'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '1'
> par2 <- '1'
> par1 <- '48'
> #'GNU S' R Code compiled by R2WASP v. 1.2.327 (Mon, 30 Nov 2015 06:58:35 +0000)
> #Author: root
> #To cite this work: Wessa P., (2015), (Partial) Autocorrelation Function (v1.0.12) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_autocorrelation.wasp/
> #Source of accompanying publication: 
> #
> if (par1 == 'Default') {
+ par1 = 10*log10(length(x))
+ } else {
+ par1 <- as.numeric(par1)
+ }
> par2 <- as.numeric(par2)
> par3 <- as.numeric(par3)
> par4 <- as.numeric(par4)
> par5 <- as.numeric(par5)
> if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
> par7 <- as.numeric(par7)
> if (par8 != '') par8 <- as.numeric(par8)
> x <- na.omit(x)
> ox <- x
> if (par8 == '') {
+ if (par2 == 0) {
+ x <- log(x)
+ } else {
+ x <- (x ^ par2 - 1) / par2
+ }
+ } else {
+ x <- log(x,base=par8)
+ }
> if (par3 > 0) x <- diff(x,lag=1,difference=par3)
> if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
> postscript(file="/var/wessaorg/rcomp/tmp/1l7ar1476997200.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow=c(2,1))
> plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
> if (par8=='') {
+ mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ } else {
+ mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ }
> plot(x,type='l', main=mytitle,xlab='time',ylab='value')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/2jhhd1476997200.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3ffml1476997200.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
> dev.off()
null device 
          1 
> (myacf <- c(racf$acf))
 [1]  1.000000000  0.017094361 -0.043733774 -0.126858750 -0.172848580
 [6]  0.110716085 -0.036684044  0.031100619 -0.031002135  0.004120179
[11]  0.105895307  0.031174366 -0.146169158 -0.164922686 -0.055710419
[16] -0.012191435  0.010379601  0.031256030  0.022849789  0.038893131
[21] -0.006340301 -0.081838186  0.078456694 -0.129950478 -0.038169403
[26]  0.108561947 -0.072453783  0.063518355 -0.055018551 -0.100822150
[31] -0.014251896 -0.144233935  0.068355995  0.024519760 -0.032134772
[36]  0.118650394  0.048333480  0.043642707 -0.076294341 -0.018953415
[41]  0.100022870  0.098224257 -0.054287452  0.048393865 -0.053887537
[46] -0.006084855  0.141769229 -0.003333329 -0.052671826
> (mypacf <- c(rpacf$acf))
 [1]  0.017094361 -0.044038860 -0.125605645 -0.174095998  0.105450151
 [6] -0.072497761 -0.001337758 -0.041968515  0.032786668  0.080119058
[11]  0.041380104 -0.164635389 -0.131500263 -0.035997373 -0.068783984
[16] -0.093050735 -0.006563678  0.015714145  0.026265955 -0.024273990
[21] -0.092222592  0.123890046 -0.111692220 -0.088010778  0.066700630
[26] -0.097720653 -0.041729027 -0.063934178 -0.151970935 -0.057618781
[31] -0.147846641 -0.034239517 -0.040690143 -0.070728923  0.050488314
[36]  0.034001406  0.007591216 -0.087831692  0.004793550  0.099960660
[41]  0.057295557 -0.168226966  0.050549095 -0.109156604 -0.029602814
[46]  0.081933415 -0.040694300  0.015994838
> lengthx <- length(x)
> sqrtn <- sqrt(lengthx)
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 2:(par1+1)) {
+ a<-table.row.start(a)
+ a<-table.element(a,i-1,header=TRUE)
+ a<-table.element(a,round(myacf[i],6))
+ mytstat <- myacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4hko01476997200.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:par1) {
+ a<-table.row.start(a)
+ a<-table.element(a,i,header=TRUE)
+ a<-table.element(a,round(mypacf[i],6))
+ mytstat <- mypacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5orpg1476997200.tab") 
> 
> try(system("convert tmp/1l7ar1476997200.ps tmp/1l7ar1476997200.png",intern=TRUE))
character(0)
> try(system("convert tmp/2jhhd1476997200.ps tmp/2jhhd1476997200.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ffml1476997200.ps tmp/3ffml1476997200.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.312   0.098   1.508